There's a park behind the giant Metronome overlooking the Vltava River in the center of town. That park has some very nice public hard courts in pretty good condition when I was there about five years ago.

I'll be in Prague for about a week or so at the end of April. Where can I hit? I'm an intermediate 3.0 to 3.5 in case that matters.

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Praha has A LOT of tennis to offer!
I lived there for three years and played on evey imaginable surface.
Red clay is dominant, although, you can find the hard courts, too. It is not too expensive in the spring/fall/summer.